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Simplifying (4u + 7)(5u + -1) = 0 Reorder the terms: (7 + 4u)(5u + -1) = 0 Reorder the terms: (7 + 4u)(-1 + 5u) = 0 Multiply (7 + 4u) * (-1 + 5u) (7(-1 + 5u) + 4u * (-1 + 5u)) = 0 ((-1 * 7 + 5u * 7) + 4u * (-1 + 5u)) = 0 ((-7 + 35u) + 4u * (-1 + 5u)) = 0 (-7 + 35u + (-1 * 4u + 5u * 4u)) = 0 (-7 + 35u + (-4u + 20u2)) = 0 Combine like terms: 35u + -4u = 31u (-7 + 31u + 20u2) = 0 Solving -7 + 31u + 20u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -4u)(1 + -5u) = 0Subproblem 1
Set the factor '(-7 + -4u)' equal to zero and attempt to solve: Simplifying -7 + -4u = 0 Solving -7 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4u = 0 + 7 -4u = 0 + 7 Combine like terms: 0 + 7 = 7 -4u = 7 Divide each side by '-4'. u = -1.75 Simplifying u = -1.75Subproblem 2
Set the factor '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2Solution
u = {-1.75, 0.2}
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